Question: The solid shown in the figure has cross sections bounded by the graph of |x| a + |y| = 1, where 1 a

The solid shown in the figure has cross sections bounded by the graph of |x|a + |y|ª = 1, where 1 ≤ a ≤ 2.

(a) Describe the cross section when a = 1 and a = 2.

(b) Describe a procedure for approximating the volume of the
solid.

X ||x| +|y| = 1 ||x|@ + |y|a = 1 y X

X ||x| +|y| = 1 ||x|@ + |y|a = 1 y X ||x + y = 1

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